scholarly journals Geometric No-Arbitrage Analysis in the Dynamic Financial Market with Transaction Costs

2019 ◽  
Vol 12 (1) ◽  
pp. 26
Author(s):  
Wanxiao Tang ◽  
Jun Zhao ◽  
Peibiao Zhao
Keyword(s):  
Transaction Costs ◽  
Financial Market ◽  
Expected Utility ◽  
Maximization Problem ◽  
No Arbitrage ◽  
The One

The present paper considers a class of financial market with transaction costs and constructs a geometric no-arbitrage analysis frame. Then, this paper arrives at the fact that this financial market is of no-arbitrage if and only if the curvature 2-form of a specific connection is zero. Furthermore, this paper derives the fact that the no-arbitrage condition for the one-period financial market is equivalent to the geometric no-arbitrage condition. Finally, an example states the equivalence between the geometric no-arbitrage condition and the existence of the solutions for a maximization problem of expected utility.

scholarly journals On the quasi-sure superhedging duality with frictions

2019 ◽  
Vol 24 (1) ◽  
pp. 249-275
Author(s):  
Erhan Bayraktar ◽  
Matteo Burzoni
Keyword(s):  
Transaction Costs ◽  
Financial Market ◽  
Discrete Time ◽  
Natural Condition ◽  
Model Uncertainty ◽  
Original Model ◽  
Restrictive Assumption ◽  
Proportional Transaction Costs ◽  
No Arbitrage ◽  
Portfolio Constraints

AbstractWe prove the superhedging duality for a discrete-time financial market with proportional transaction costs under model uncertainty. Frictions are modelled through solvency cones as in the original model of Kabanov (Finance Stoch. 3:237–248, 1999) adapted to the quasi-sure setup of Bouchard and Nutz (Ann. Appl. Probab. 25:823–859, 2015). Our approach allows removing the restrictive assumption of no arbitrage of the second kind considered in Bouchard et al. (Math. Finance 29:837–860, 2019) and showing the duality under the more natural condition of strict no arbitrage. In addition, we extend the results to models with portfolio constraints.

Square Pegs and Round Holes (Continued): Financial Market Surveillance Authorities and Internal Market Association

2020 ◽  
Vol 22 ◽  
pp. 32-59
Author(s):  
GEORGES S BAUR
Keyword(s):  
Financial Market ◽  
Financial Services ◽  
Internal Market ◽  
Trade Association ◽  
European Economic Area ◽  
The European Union ◽  
Services Sector ◽  
The United Kingdom ◽  
European Free Trade Association ◽  
The One

AbstractAfter the financial crisis of 2008, the European Union (‘EU’) not only increased its substantial legislation regarding financial services, but also built up a strong and unified system of financial market supervision. In particular, central surveillance authorities were created. These were given far-reaching competences with regard to substituting dysfunctional national authorities or players in the financial services sector. The three European Economic Area (‘EEA’) and European Free Trade Association (‘EFTA’) States—Iceland, Liechtenstein, and Norway—participate in the EU's internal market through their membership of the EEA. In order to continue participating on an equal footing in the internal market for financial services and to honour their duty to maintain homogeneity, the EEA EFTA States also had to incorporate the new institutional setup regarding financial services supervision. This obligation, however, in particular relating to certain intrusive powers of the new surveillance authorities, collided with some constitutional reservations, above all of the two Nordic EEA EFTA States. This article will show how these conflicting aims could be merged into a system that on the one hand guarantees the unified overall approach needed for strengthened surveillance of the internal market for financial services, and on the other hand safeguards certain constitutional reservations of the EEA EFTA States. It also looks at how third countries that do not (fully) participate in the internal market, such as the United Kingdom and Switzerland, are likely to be treated in this context by the EU.

Critical Value-Based Power Options Pricing Problems in Uncertain Financial Markets

2021 ◽  
pp. 2150002
Author(s):  
Guimin Yang ◽  
Yuanguo Zhu
Keyword(s):  
Financial Markets ◽  
Financial Market ◽  
Numerical Experiments ◽  
Critical Value ◽  
The Other ◽  
Options Pricing ◽  
Underlying Asset ◽  
Pricing Problems ◽  
Fractional Differential ◽  
The One

Compared with investing an ordinary options, investing the power options may possibly yield greater returns. On the one hand, the power option is the best choice for those who want to maximize the leverage of the underlying market movements. On the other hand, power options can also prevent the financial market changes caused by the sharp fluctuations of the underlying assets. In this paper, we investigate the power option pricing problem in which the price of the underlying asset follows the Ornstein–Uhlenbeck type of model involving an uncertain fractional differential equation. Based on critical value criterion, the pricing formulas of European power options are derived. Finally, some numerical experiments are performed to illustrate the results.

scholarly journals Dual Formulation of the Utility Maximization Problem Under Transaction Costs

2001 ◽  
Vol 11 (4) ◽  
pp. 1353-1383 ◽  
Author(s):  
Griselda Deelstra ◽  
Huyên Pham ◽  
Nizar Touzi
Keyword(s):  
Transaction Costs ◽  
Utility Maximization ◽  
Maximization Problem ◽  
Dual Formulation ◽  
Utility Maximization Problem

scholarly journals Behavioral finance and games: simulations in the academic environment

2017 ◽  
Vol 29 (77) ◽  
pp. 297-311 ◽  
Author(s):  
Eliana Marcia Martins Fittipaldi Torga ◽  
Francisco Vidal Barbosa ◽  
Alexandre de Pádua Carrieri ◽  
Bruno Pérez Ferreira ◽  
Márcia Hiromi Yoshimatsu
Keyword(s):  
Stock Market ◽  
Financial Market ◽  
Behavioral Finance ◽  
Social Cognitive ◽  
Financial Analysis ◽  
Participant Observation ◽  
Comprehensive Knowledge ◽  
Training Professionals ◽  
Emotional Aspects ◽  
The One

ABSTRACT The contribution from this study lies in its reflection on the factors that influence market efficiency, which requires a multidisciplinary view to analyze the intervening factors that impact results of the financial system. It also contributes by reflecting on the need for new approaches for training professionals who will go on to work in financial and related areas and preparing them by using different financial analysis techniques; by reflecting on the fact that analytical practices are influenced by social, cognitive, and emotional aspects, enabling the students to be better prepared to act in the financial market; by presenting various technical possibilities and providing more comprehensive knowledge to choose the one that best suits the object of analysis and their preferences; and by reflecting on different ways of perceiving investment opportunities and risk, which can be expanded on in other studies on the segmentation of clients according to their preferences in the investor market. The aim of this study was to analyze how social and psychological aspects influenced the decisions involved in simulated trading operations. The relevance lies in its discussion of the philosophical and epistemological position in finance, which suffers from a vision that only focuses on the rationality of means and does not explain the anomalies verified in the financial market. The study originated from the application of a company game simulating the work of stock market trading desk operators, applied in the Stock Market Operations course and using fundamental, technical, and graphical techniques. The population was intentional and made up of undergraduate and graduate students from one of the four best Brazilian federal universities. The data analysis was performed by analyzing the content of the questionnaires applied and the journal entries made during participant observation.

scholarly journals Utility Maximization with Proportional Transaction Costs Under Model Uncertainty

2020 ◽  
Vol 45 (4) ◽  
pp. 1210-1236 ◽  
Author(s):  
Shuoqing Deng ◽  
Xiaolu Tan ◽  
Xiang Yu
Keyword(s):  
Dynamic Programming ◽  
Transaction Costs ◽  
Model Uncertainty ◽  
Utility Maximization ◽  
Exponential Utility ◽  
Market Condition ◽  
Maximization Problem ◽  
Proportional Transaction Costs ◽  
Utility Indifference ◽  
Basic Features

We consider a discrete time financial market with proportional transaction costs under model uncertainty and study a numéraire-based semistatic utility maximization problem with an exponential utility preference. The randomization techniques recently developed in Bouchard, Deng, and Tan [Bouchard B, Deng S, Tan X (2019) Super-replication with proportional transaction cost under model uncertainty. Math. Finance 29(3):837–860.], allow us to transform the original problem into a frictionless counterpart on an enlarged space. By suggesting a different dynamic programming argument than in Bartl [Bartl D (2019) Exponential utility maximization under model uncertainty for unbounded endowments. Ann. Appl. Probab. 29(1):577–612.], we are able to prove the existence of the optimal strategy and the convex duality theorem in our context with transaction costs. In the frictionless framework, this alternative dynamic programming argument also allows us to generalize the main results in Bartl [Bartl D (2019) Exponential utility maximization under model uncertainty for unbounded endowments. Ann. Appl. Probab. 29(1):577–612.] to a weaker market condition. Moreover, as an application of the duality representation, some basic features of utility indifference prices are investigated in our robust setting with transaction costs.

scholarly journals Monotone utility convergence

2006 ◽  
Vol 43 (03) ◽  
pp. 622-633
Author(s):  
Stefan Ankirchner
Keyword(s):  
Financial Market ◽  
Expected Utility ◽  
Sufficient Conditions ◽  
Contingent Claims ◽  
Continuity Property

We show that the maximal expected utility satisfies a monotone continuity property with respect to increasing information. Let be a sequence of increasing filtrations converging to , and let u n (x) and u ∞(x) be the maximal expected utilities when investing in a financial market according to strategies adapted to and , respectively. We give sufficient conditions for the convergence u n (x) → u ∞(x) as n → ∞. We provide examples in which convergence does not hold. Then we consider the respective utility-based prices, π n and π∞, of contingent claims under (G t n ) and (G t ∞). We analyse to what extent π n → π∞ as n → ∞.

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